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NON-PERTURBATIVE SOLUTION FOR HYDROMAGNETIC FLOW OVER A LINEARLY STRETCHING SHEET

机译:线性拉伸板上的磁流体非扰动解

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摘要

In this paper, the Adomian decomposition method with Pade approximants are integrated to study the boundary layer flow of a conducting fluid past a linearly stretching sheet under the action of a transversely imposed magnetic field. A closed form power series solution based on Adomian polynomials is obtained for the similarity nonlinear ordinary differential equation modelling the problem. In order to satisfy the farfield condition, the Adomian power series is converted to diagonal Pade approximants and evaluated. The results obtained using ADM-Pade are remarkably accurate compared with the numerical results. The proposed technique can be easily employed to solve a wide range of nonlinear boundary value problems.
机译:在本文中,结合了具有Pade近似值的Adomian分解方法,以研究在横向施加的磁场作用下通过线性拉伸片的导电流体的边界层流。针对该问题的相似性非线性常微分方程,获得了基于Adomian多项式的闭式幂级数解。为了满足远场条件,将Adomian幂级数转换为对角Pade近似值并进行评估。与数值结果相比,使用ADM-Pade获得的结果非常准确。所提出的技术可以很容易地用于解决广泛的非线性边界值问题。

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